A fractal curve is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified, that is, its graph takes the form of a fractal. [1]
Explore the famous Mandelbrot Set fractal with a fast and natural real-time scroll/zoom interface, much like a street map. You can view additional useful information such as the graph axes and the corresponding Julia set for any point in the picture.
Fractal explorer, simple to create beautiful fractal designs. Adjust interactive sliders to change angles and lengths. Helps learn about angles while manipulating.
Use Wolfram|Alpha to explore a vast collection of fractals and to visualize beautiful chaotic and regular behaviors. Examine named fractals, visualize iteration rules, compute fractal dimension and more.
After thousands or millions of iterations, you can resolve the finest details in the most complex parts of the fractal. See information on iterations, progress, and coordinates by hovering over the yellow zoom number under each window.
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set.